Details

sample374.0ms

Algorithm

intervals

Results

148.0ms	87×	body	1280	valid
75.0ms	60×	body	640	valid
51.0ms	68×	body	80	valid
23.0ms	29×	body	320	valid
8.0ms	12×	body	160	valid

simplify50.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.5b	(- (cos x) (cos y))

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
18×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
4×	`sub-neg` `unswap-sqr`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 102

Calls

4 calls:

48.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
297.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series252.0ms

Counts

4 → 10

Calls

4 calls:

91.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
98.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
63.0ms	(- (cos x) (cos y))

simplify49.0ms

Counts: 112 → 112

prune639.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
1.0b	(- 3.0 (sqrt 5.0))
1.5b	(- (cos x) (cos y))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`sqrt-prod`
11×	`difference-of-squares`
10×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`sub-neg` `distribute-lft-out--`
4×	`flip3--` `flip--`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `unswap-sqr`
1×	`times-frac` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 81

Calls

4 calls:

56.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
17.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
7.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

series156.0ms

Counts

4 → 8

Calls

4 calls:

95.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
0.0ms	(- 3.0 (sqrt 5.0))
61.0ms	(- (cos x) (cos y))

simplify132.0ms

Counts: 89 → 89

prune620.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
1.5b	(- (cos x) (cos y))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
15×	`sqrt-prod`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`sub-neg`
5×	`distribute-lft-out--`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 99

Calls

4 calls:

112.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
59.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
18.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
20.0ms	(- (cos x) (cos y))

series310.0ms

Counts

4 → 10

Calls

4 calls:

152.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
98.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
60.0ms	(- (cos x) (cos y))

simplify69.0ms

Counts: 109 → 109

prune855.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (+ (sqrt (sqrt 5.0)) (sqrt 1.0)) (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0)) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
1.5b	(- (cos x) (cos y))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
11×	`pow1`
9×	`associate-r` `difference-of-squares`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `associate-*l/`
6×	`prod-exp` `cbrt-unprod`
4×	`sub-neg` `pow-prod-down` `distribute-lft-out--`
3×	`flip3--` `associate-*r/` `flip--`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `flip3-+` `diff-log` `*-commutative` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `times-frac` `div-exp` `diff-cos`

Counts

4 → 91

Calls

4 calls:

129.0ms	(* (* (+ (sqrt (sqrt 5.0)) (sqrt 1.0)) (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0)) (cos x))
57.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
17.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
9.0ms	(- (cos x) (cos y))

series472.0ms

Counts

4 → 10

Calls

4 calls:

313.0ms	(* (* (+ (sqrt (sqrt 5.0)) (sqrt 1.0)) (/ (- (sqrt (sqrt 5.0)) (sqrt 1.0)) 2.0)) (cos x))
95.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- (sqrt (sqrt 5.0)) (sqrt 1.0))
63.0ms	(- (cos x) (cos y))

simplify66.0ms

Counts: 101 → 101

prune652.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.3s	2754×	body	1280	valid
2.9s	1882×	body	640	valid
707.0ms	772×	body	320	valid
690.0ms	2233×	body	80	valid
186.0ms	359×	body	160	valid